Greatest Common Factor of 533/72, 8642/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 533/72, 8642/614

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 533/72,8642/614

Given fractions are 533/72,8642/614

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 533,8642

Greatest Common Factor of Numerators i.e. GCF of 533,8642 is 1 .

LCM of Denominators means LCM of 72,614 as per the given fractions.

LCM of 72,614 is 22104 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 533,8642

GCF of Fractions 533/72,8642/614 is 1/22104

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 533,8642 By Matching Biggest Common Factor Method

Greatest Common Factor of 533,8642 By Matching Biggest Common Factor Method

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Factors of 8642

List of positive integer factors of 8642 that divides 8642 without a remainder.

1,2,29,58,149,298,4321,8642

Greatest Common Factor

We found the factors 533,8642 . The biggest common factor number is the GCF number.
So the greatest common factor 533,8642 is 1.

Lets's calculate LCM of 72,614

2 72, 614
36, 307

∴ So the LCM of the given numbers is 2 x 36 x 307 = 22104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22104

Therefore, the GCF of Fractions 533/72,8642/614 is 1/22104

Least Common Multiple of 72,614 with GCF Formula

Least Common Multiple of 72,614 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 72,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,614) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(72,614) x common factors =2 x 1 = 2

LCM(72,614) = ( 72 × 614 ) / 2

LCM(72,614) = 44208 / 2

LCM(72,614) = 22104


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 533/72, 8642/614

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 533/72, 8642/614?

Answer: GCF of Numerators as per given numbers 533/72, 8642/614 is

GCF of Numerators i.e. for 533,8642 is 1

LCM of denominators i.e. for 72,614 is 22104.

Thus, GCF of Fractions is 1/22104.Finally, GCF of Fractions for 533/72, 8642/614 is 1/22104.